Which of the following is an ordered pair of the relation y=−23x+6 ?(1 point)
Responses
(3,8)
left parenthesis 3 comma 8 right parenthesis
(1,4)
left parenthesis 1 comma 4 right parenthesis
(3,4)
left parenthesis 3 comma 4 right parenthesis
(0,−23)
To find an ordered pair that satisfies the given relation, we substitute the values of x and y into the equation and see if it is true.
Checking the first option:
For (x, y) = (3, 8), we have:
8 = -23(3) + 6
8 = -69 + 6
8 = -63
This is not true.
Checking the second option:
For (x, y) = (1, 4), we have:
4 = -23(1) + 6
4 = -23 + 6
4 = -17
This is not true.
Checking the third option:
For (x, y) = (3, 4), we have:
4 = -23(3) + 6
4 = -69 + 6
4 = -63
This is not true.
Checking the fourth option:
For (x, y) = (0, -23), we have:
-23 = -23(0) + 6
-23 = 0 + 6
-23 = 6
This is not true.
None of the given options satisfy the given relation.
Which of the following is an ordered pair of the relation y=−2/3x+6 ?(1 point)
Responses
(3,8)
left parenthesis 3 comma 8 right parenthesis
(1,4)
left parenthesis 1 comma 4 right parenthesis
(3,4)
left parenthesis 3 comma 4 right parenthesis
(0,−2/3)
To determine whether an ordered pair satisfies the given relation, we substitute the values of x and y into the equation and verify if it holds true.
For the first option:
For (x, y) = (3, 8), we have:
8 = (-2/3)(3) + 6
8 = -2 + 6
8 = 4
This is not true.
For the second option:
For (x, y) = (1, 4), we have:
4 = (-2/3)(1) + 6
4 = -2/3 + 6
4 = 18/3 - 2/3
4 = 16/3
This is not true.
For the third option:
For (x, y) = (3, 4), we have:
4 = (-2/3)(3) + 6
4 = -2 + 6
4 = 4
This is true.
For the fourth option:
For (x, y) = (0, -2/3), we have:
-2/3 = (-2/3)(0) + 6
-2/3 = 0 + 6
-2/3 = 6
This is not true.
Therefore, the only ordered pair that satisfies the given relation is (3, 4).
u sure bro
Apologies for the mistake in the previous response. Let's recheck the options again:
For the first option:
For (x, y) = (3, 8), we have:
8 = (-2/3)(3) + 6
8 = -2 + 6
8 = 4
This is not true.
For the second option:
For (x, y) = (1, 4), we have:
4 = (-2/3)(1) + 6
4 = -2/3 + 6
4 = 18/3 - 2/3
4 = 16/3
This is not true.
For the third option:
For (x, y) = (3, 4), we have:
4 = (-2/3)(3) + 6
4 = -2 + 6
4 = 4
This is true.
For the fourth option:
For (x, y) = (0, -2/3), we have:
-2/3 = (-2/3)(0) + 6
-2/3 = 0 + 6
-2/3 = 6
This is not true.
Therefore, the correct option is (3, 4).